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Simplifying 36xy + 6x + 6y + -48 = 0 Reorder the terms: -48 + 6x + 36xy + 6y = 0 Solving -48 + 6x + 36xy + 6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 6x + 36xy + 48 + 6y = 0 + 48 Reorder the terms: -48 + 48 + 6x + 36xy + 6y = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 6x + 36xy + 6y = 0 + 48 6x + 36xy + 6y = 0 + 48 Combine like terms: 0 + 48 = 48 6x + 36xy + 6y = 48 Add '-6y' to each side of the equation. 6x + 36xy + 6y + -6y = 48 + -6y Combine like terms: 6y + -6y = 0 6x + 36xy + 0 = 48 + -6y 6x + 36xy = 48 + -6y Reorder the terms: -48 + 6x + 36xy + 6y = 48 + -6y + -48 + 6y Reorder the terms: -48 + 6x + 36xy + 6y = 48 + -48 + -6y + 6y Combine like terms: 48 + -48 = 0 -48 + 6x + 36xy + 6y = 0 + -6y + 6y -48 + 6x + 36xy + 6y = -6y + 6y Combine like terms: -6y + 6y = 0 -48 + 6x + 36xy + 6y = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-8 + x + 6xy + y) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-8 + x + 6xy + y)' equal to zero and attempt to solve: Simplifying -8 + x + 6xy + y = 0 Solving -8 + x + 6xy + y = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + x + 6xy + 8 + y = 0 + 8 Reorder the terms: -8 + 8 + x + 6xy + y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x + 6xy + y = 0 + 8 x + 6xy + y = 0 + 8 Combine like terms: 0 + 8 = 8 x + 6xy + y = 8 Add '-1y' to each side of the equation. x + 6xy + y + -1y = 8 + -1y Combine like terms: y + -1y = 0 x + 6xy + 0 = 8 + -1y x + 6xy = 8 + -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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